Bart is taking two classes, backpacking and biology. His probability of passing backpacking is 0.54, that of failing biology is 0.83, and that of passing at least one of the two courses is 0.65. Find the probability of the following.
A. Joe will pass both courses.
B. Joe will pass exactly one course.
C. Joe passes neither course.
You have the probability of passing each course, and the probablity of passing at least one. Using joint probability, find A and B.
For C, wouldnt passing neither course be the probability of failing 1, then multiplied by the prob of failing the other?